On the relativistic L-S coupling

Abstract

The fact that the Dirac equation is linear in the space and time derivatives leads to the coupling of spin and orbital angular momenta that is of a pure relativistic nature. We illustrate this fact by computing the solutions of the Dirac equation in an infinite spherical well, which allows to go from the relativistic to the non-relativistic limit by just varying the radius of the well.

LateX2e, 12 pages, 1 figure, accepted in Eur. J. Phys

Cited by in corpus (8)

• The Isospin Asymmetry in the Pseudo-spin Dynamical Symmetry
• Pseudospin symmetry as a relativistic dynamical symmetry in the nucleus
• Role of the Coulomb and the vector-isovector $\rho$ potentials in the isospin asymmetry of nuclear pseudospin
• Dirac-Bogoliubov-deGennes quasiparticles in a vortex lattice
• Relativistic particle in a box: Klein-Gordon vs Dirac Equations
• General spin and pseudospin symmetries of the Dirac equation
• Intrinsic Spin-Orbit Interaction in Graphene
• Generalizing spin and pseudospin symmetries for relativistic spin 1/2 fermions